An unsharp quantum observable can be considered a realization of a sharp ob
servable if and only if it is commutative. In this paper we describe an exp
licit procedure for reconstructing such a sharp observable and for establis
hing the probabilistic correlations between the sharp reconstruction and th
e given unsharp observable. (C) 2000 American Institute of Physics. [S0022-
2488(00)01507-3].